The angular speed of the hour hand of a clock, in rad/s, is
A) .
B) .
C) .
D)1800π.
E)7200π.

Question

The angular speed of the hour hand of a clock, in rad/s, is
A) . 
B) . 
C) . 
D)1800π. 
E)7200π.

Quizplus · Accepted Answer

The hour hand completes one revolution in 12 hours, which is equivalent to $2\pi$ radians. Therefore, the angular speed of the hour hand is:

$$\frac{2\pi}{12\cdot 3600}= \frac{\pi}{6\cdot 3600} 	ext{radians per second}$$

Converting this to scientific notation, we get:

$$\frac{\pi}{6\cdot 3600}= 11\mathrm{e}{-5}\pi 	ext{ radians per second}$$

Therefore, the answer is (B).

The Angular Speed of the Hour Hand of a Clock